Solve and Graph Inequalities and Compound Inequalities

-2(x+2) < 14

• x < - 5

• x > -5

• x < -9

• x > -9

Tags

CCSS.7.EE.B.4B

Which is a solution of
5(v + 3) - 10v > -10

• v < 5

• V > 5

• V > -5

• v < -5

Why do we graph inequalities?

• There is no good reason to graph inequalities.

• We need to practice our art skills.

• THE GRAPH SHOWS ALL THE SOLUTIONS TO THE INEQUALITY.

Tags

CCSS.HSA.REI.D.12

Solve:
 |x + 3| > 8

• x > 5 or x < -11

• x > 5

• all real numbers

• no solution

Solve:
3 | 2x + 7| - 7 < -4

• x < -3 and x > -5/3

• x < -3 and x > -4

• all real numbers

• no solution

Solve.
-5|x - 4| > -20

• x < 8 and x > 0

• x > 8 or x < 0

• all real numbers

• no solution

Solve and graph:

• A

• B

• C

• D

Solve and give the final solution set:

5x + 1 < 21 OR 3x + 2 > -1

• All real numbers

• -1 < x < 4

• No solution

• x > 4 or x < -1

Solve and graph

• A

• B

• C

• D

Look at the graph. Write the inequality in interval notation.

• (-2,5)

• (-∞,-2)⋃(5,∞)

• [-2,5]

• (-∞,-2]∪[5,∞)